MATH 150: Introductory Discrete MathematicsFall 2015 Section 007 3 Credit Hours

Instructor: Tom Polaski Course Time and Location:MWF 12:30 p.m.- 1:20 p.m., Kinard 018Office: Bancroft 152

Office Phone: 803-323-4604 Office Hours:M 10:00-11:00 a.m. and 2:00-3:30 p.m.TWR 10:00-11:00 a.m.Other times may be arranged by appointment.

Math DepartmentPhone: 803-323-2175Campus Email: polaskit@winthrop.edu

The instructor reserves the right to make modifications to the course syllabus. Students will be notified in class and by email. This syllabus is available at the instructor’s website (http://faculty.winthrop.edu/polaskit/) and the course Blackboard site.

Text, Materials and Learning Aids Required Text: Mathematics For Winthrop University. Boston: Pearson Learning Solutions, 2014. A scientific calculator is required. Students and encouraged to use office hours as a way to receive extra help. A Blackboard review environment is available at https://bb-winthrop.blackboard.com/ using your

Winthrop login information. The Mathematics Tutorial Center (Bancroft 271) and large group reviews are available for students who

need help with MATH150. Information is available at http://www.winthrop.edu/mtc. Winthrop’s Academic Success Center is a free resource for all undergraduate students seeking to perform

their best academically. The ASC offers a variety of personalized and structured resources that help students achieve academic excellence, such as tutoring, academic skill development (test taking strategies, time management counseling, and study techniques), and group/individual study spaces. The ASC is located on the first floor of Dinkins, Suite 106. Tutoring in MATH 150 is offered through the office. If you wish to request a tutor, you must attend ONE Tutee Seminar, offered every Friday until October 23rd. Please contact the ASC at 803-323-3929 or success@winthrop.edu if you have any questions. For more information on ASC services, please visit www.winthrop.edu/success.

QuizzesFrom time to time during the course, you will be given quizzes to check on your progress at understanding the class material. These quizzes will consist of a few questions that resemble homework problems that you have been assigned. No make-up quizzes will be given. At the end of the course your quiz grades will be averaged and rescaled to a 100-point scale. The grading scales for the quizzes will also be averaged and rescaled.

Tests and GradingFour 100-point tests will be given along with a 200-point final exam on the dates indicated on the course schedule. No make-up tests will be given unless prior arrangements have been made with the instructor. A point system will determine your final grade. There are 700 points possible: 400 from the tests, 200 from the final, and 100 from the quizzes. An approximate grading scale for each test will be determined after it is graded. The semester grading scale will be based on these approximate grading scales, the grading scale for the quizzes, and on the scale for the final exam. Plusses and minuses are awarded at the discretion of the instructor.

Equal Access to EducationWinthrop University is dedicated to providing access to education. If you have a disability and need specific accommodations to complete this course, please contact the Office of Disability Services (ODS) at 323-3290 as early as possible in the semester. Once you have your official notice of accommodations from the Office of Disability Services, please inform your instructor.

Academic IntegrityReview the student code of conduct for university polices on academic misconduct. Academic misconduct will not be tolerated and will result in a failing grade on the assignment and/or in the course. The full handbook is available online at http://www2.winthrop.edu/studentaffairs/handbook/StudentHandbook.pdf.

Electronic DevicesAll electronic devices (including cell phones) other than a calculator should be on silent and kept in your book bag or purse throughout class time unless otherwise instructed. NOTE: if you have some educational, health, or physical reason for an electronic device you must notify your instructor of this accommodation.

Attendance PolicyAttendance at all scheduled class meetings is strongly encouraged. Your number of absences will not be counted, and will not be used directly to determine your grade. However, attendance is mandatory for those class sessions that include a test. If no prior arrangements are made with the instructor, a zero will be recorded for a test not taken due to absence. Likewise a zero will be recorded for any quiz not taken due to absence. If you will not be in class, it is your responsibility to notify the instructor.

Course Goals and Alignment with the General Education GoalsThe course meets the Quantitavive Reasoning requirement through the following goal alignment.

Course Goals General Education Goals

Develop basic skills in set theory, logic, combinatorics, probability, and statistics.

2.1 Solve mathematical problems of the type necessary for living in today’s and tomorrow’s world.

2.4 Understand the concept and application of quantitative relationships.

Use concepts in set theory, logic, combinatorics, probability, and statistics to demonstrate reasoning through solving problems.

2.1 Solve mathematical problems of the type necessary for living in today’s and tomorrow’s world.

2.2 Make valid inferences from data.

2.3 Understand that quantitative analysis is important to almost every endeavor of humankind.

2.4 Understand the concept and application of quantitative relationships.

3.1 Identify sound and unsound reasoning.

Use the notion of sets to analyze survey data and count responses of different types.

2.2 Make valid inferences from data.

2.4 Understand the concept and application of quantitative relationships.

Analyze data using descriptive statistics.

2.2 Make valid inferences from data.

2.4 Understand the concept and application of quantitative relationships.

3.1 Identify sound and unsound reasoning.

3.2 Analyze and use a variety of information gathering techniques.

Use formal logic to analyze complicated arguments carefully and discover whether they are valid.

2.4 Understand the concept and application of quantitative relationships.

3.1 Identify sound and unsound reasoning.

Use concepts within combinatorics and probability for the analysis of risk in various settings.

3.2 Analyze and use a variety of information gathering techniques.

For purposes of departmental and program assessment of student learning in this course, the common final exam results may be tabulated for all students and cover the goals listed above. Individual tests and course grades may also be used as an indication of progress toward the above goals.

Tentative Course ScheduleDate Section Topic Key Ideas

W 8/26 M 3.1 Statements and Quantifiers Statements: compound;

conditionals; connections to symbolic notation; connectives; contrapositives; converses; disjunctions and conjunctions; equivalence; inverses; negations; qualifiers; tautology

Notation: , , , , , DeMorgan’s Laws Argument analysis using truth

tables and Euler diagrams

F 8/28 M 3.1 Statements and QuantifiersM 8/31 M 3.2 Truth Tables and Equivalent StatementsW 9/2 M 3.2 Truth Tables and Equivalent StatementsF 9/4 M 3.3 The ConditionalW 9/9 M 3.4 More on the ConditionalF 9/11 M 3.5 Analyzing Arguments with Euler DiagramsM 9/14 M 3.6 Analyzing Arguments with Truth TablesW 9/16 ReviewF 9/18 Test 1M 9/21 8.1 Sets Sets: notation, elements, subsets,

complements, unions, intersections

Venn Diagrams: construct diagrams, solve word problems, apply addition rule for counting

Probability: definition of probability, sample spaces, events, addition rule, complement rule, odds, relative frequencies, product rule, dependence, independence, conditional probability

W 9/23 8.1 SetsF 9/25 8.2 Applications of Venn DiagramsM 9/28 8.3 Introduction to ProbabilityW 9/30 8.4 Basic Concepts of ProbabilityF 10/2 8.5 Conditional Probability / Independent EventsM 10/5 8.5 Conditional Probability / Independent EventsW 10/7 8.6 Bayes FormulaF 10/9 8.6 Bayes FormulaM 10/12 ReviewW 10/14 Test 2

F 10/16 9.1 Probability Distributions and Expected Value

Probability: weighted averages using probability distributions, random variables, histograms

Counting: advanced counting problems, application to computation of probabilities, probability associated with binomial distributions, Bernoulli trials, expected value

W 10/21 9.1 Probability Distributions and Expected Value

F 10/23 9.2 Multiplication Principle, Permutations, Combinations

M 10/26 9.2 Multiplication Principle, Permutations, Combinations

W 10/28 9.3 Applications of CountingF 10/30 9.3 Applications of CountingM 11/2 9.4 Binomial ProbabilityW 11/4 9.4 Binomial ProbabilityF 11/6 ReviewM 11/9 Test 3W 11/11 10.1 Distributions

histogram, frequency polygon, stem-and-leaf plots, summation notation, mean, median, mode, range, variances, standard deviations, continuous distributions, skew, normal curves, area, z-scores, quartiles

relationship between normal and binomial distributions

F 11/13 10.1/10.2 Distributions; Measures of Central Tendency

M 11/16 10.2 Measures of Central TendencyW 11/18 10.3 Measures of VariationF 11/20 10.3 Measures of VariationM 11/23 10.4 Normal DistributionsM 11/30 10.4 Normal DistributionsW 12/2 ReviewF 12/4 Test 4M 12/7 Review and EvaluationDrop/Add: Through F 8/28 SU and Course Withdraw Date: F 10/23Fall Break: M 10/19 and T 10/20 Final Exam: W 12/9, 3:00 p.m. location TBD

Make-up exam for documented final exam conflict: Sat 12/12, 11:30 a.m. location TBD

MATH 150: Introductory Discrete Mathematics

Suggested Homework Problems

Text: Mathematics for Winthrop University, Boston: Pearson Learning Solutions, 2014or Mathematics with Applications and Logic, Custom Edition for Winthrop University, Boston: Pearson Learning Solutions, 2014.

Section HomeworkM 3.1 23, 25, 27, 29, 31, 33, 35, 49, 51, 53, 55, 57, 59, 61, 63, 75M 3.2 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65,

67, 69, 71M 3.3 11, 13, 15, 17, 19, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71,

73, 81, 83, 85, 87, 89M 3.4 1, 3, 5, 7, 9, 19, 21, 23, 25, 27, 29, 31, 33, 41M 3.5 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 25, 27, 29M 3.6 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37

Chapter 3 Test 1, 3, 5, 7, 9, 11, 13, 15, 17, 25, 27, 298.1 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 51, 53, 55,

57, 59, 61, 63, 65, 678.2 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 31, 33, 35, 37, 39, 41, 438.3 3, 5, 7, 9, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 398.4 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 43, 45, 47, 49, 51, 53,

55, 57, 598.5 1, 3, 5, 15, 17, 19, 21, 23, 25, 27, 29, 31, 43, 45, 47, 49, 51, 53, 55, 57, 618.6 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33

Chapter 8 Review 1, 3, 5, 7, 11, 13, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 59, 61, 63, 65, 67, 69, 71, 73, 79, 81, 85, 87, 89

9.1 1, 5, 9, 11, 13, 15, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 459.2 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 25, 27, 29, 31, 33, 39, 41, 43, 45, 47, 49, 53, 55, 57, 59, 639.3 1, 3, 5, 7, 9, 11, 25, 27, 29, 31, 33, 35, 379.4 1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41

Chapter 9 Review 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 27, 29, 33, 35, 3710.1 1, 3, 5, 7, 9, 11, 13, 15, 17, 1910.2 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 3110.3 3, 5, 7, 9, 11, 13, 23, 25, 27, 29, 35, 36, 3710.4 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 57, 59

Chapter 10 Review 1, 3, 5, 7, 11, 13, 21, 23, 25, 29, 31, 39, 41, 43, 51, 53